Finding the Third Proportional to 92,204 and 142,628

Step by Step Solution

1. Step 1: Write the proportion equation
   92,204 : 142,628 = 142,628 : x
2. Step 2: Convert to fraction form
   92,204/142,628 = 142,628/x
3. Step 3: Cross multiply
   92,204x = 142,628 × 142,628
4. Step 4: Simplify right side
   92,204x = 20,342,746,384
5. Step 5: Solve for x
   x = 20,342,746,384/92,204
6. Step 6: Final answer
   x = 220,627.59